13501215360000 has 495 divisors, whose sum is σ = 48746829008163. Its totient is φ = 3597972480000.

The previous prime is 13501215359993. The next prime is 13501215360013. The reversal of 13501215360000 is 6351210531.

The square root of 13501215360000 is 3674400.

It is a perfect power (a square), and thus also a powerful number.

13501215360000 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 1 + 2 + 1 + 53 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1058495284224 + 12442720075776 = 1028832^2 + 3527424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8818559235 + ... + 8818560765.

Almost surely, 2^{13501215360000} is an apocalyptic number.

13501215360000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13501215360000 is the 3674400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13501215360000

13501215360000 is an abundant number, since it is smaller than the sum of its proper divisors (35245613648163).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13501215360000 is an frugal number, since it uses more digits than its factorization.

13501215360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 13501215360000 its reverse (6351210531), we get a palindrome (13507566570531).

The spelling of 13501215360000 in words is "thirteen trillion, five hundred one billion, two hundred fifteen million, three hundred sixty thousand".